On the formal developments in kinetic theory I : The exact master equations
- 1 January 1967
- journal article
- research article
- Published by PERSEE Program in Bulletin. Academie Royale Des Sciences, Des Lettres Et Des Beaux-Arts de Belgique. Classe Des Sciences
- Vol. 53 (1) , 1291-1310
- https://doi.org/10.3406/barb.1967.63023
Abstract
A summary of the main equations and formulae of the Brussels formalism (including the asymptotic theory, the ΩΨ-operator, the transformation theory and the redefined initial condition) is provided and discussed with the aid of formal techniques avoiding duplications of the proofs for homogeneous and inhomogeneous systems and stressing the mathematical structure. Applications to Lorentz transformations of the asymptotic master equations and to the formal collision operator are also discussed. This first part is devoted to the derivation of the exact master equations and a discussion of their basic properties.Keywords
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